Adaptive reliable H ∞ control for linear time-delay systems via memory state feedback

The reliable controller design problem for continuous-time linear systems with time delay and actuator faults is considered, based on a linear matrix inequality (LMI) technique and an adaptive method. A new delay-dependent memory state-feedback reliable controller is established in a parameter-dependent form, in which fault parameters are adjusted online based on an adaptive method to compensate automatically the fault effect on system. In the framework of the LMI technique, the stability and H∞ performance of closed-loop systems are guaranteed in normal and faulty cases. A numerical example and its simulations are given to illustrate the effectiveness of the proposed method.